What is the Least Common Multiple of 9838 and 9847?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 9838 and 9847 is 96874786.
LCM(9838,9847) = 96874786
Least Common Multiple of 9838 and 9847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9838 and 9847, than apply into the LCM equation.
GCF(9838,9847) = 1
LCM(9838,9847) = ( 9838 × 9847) / 1
LCM(9838,9847) = 96874786 / 1
LCM(9838,9847) = 96874786
Least Common Multiple (LCM) of 9838 and 9847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9838 and 9847. First we will calculate the prime factors of 9838 and 9847.
Prime Factorization of 9838
Prime factors of 9838 are 2, 4919. Prime factorization of 9838 in exponential form is:
9838 = 21 × 49191
Prime Factorization of 9847
Prime factors of 9847 are 43, 229. Prime factorization of 9847 in exponential form is:
9847 = 431 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 9838 and 9847.
LCM(9838,9847) = 21 × 49191 × 431 × 2291
LCM(9838,9847) = 96874786
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